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arXiv · 1008.3442

The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions

Radjesvarane Alexandre·Yoshinori Morimoto·Seiji Ukai·Chao-Jiang Xu·Tong Yang
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Abstract

This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions, precisely, the full regularization in all variables, uniqueness, non-negativity and convergence rate to the equilibrium. Together with the results of Parts I and II about the well posedness of the Cauchy problem around Maxwellian, we conclude this series with a satisfactory mathematical theory for Boltzmann equation without angular cutoff.

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Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, Chao-Jiang Xu, Tong Yang. 2010-08-20. The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions. https://doi.org/10.1007/s00205-011-0432-0

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